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Finding the Third Proportional to 684,612 and 1,412,964

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Solution

The third proportional to 684,612 and 1,412,964 is: 2,916,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,612 : 1,412,964 = 1,412,964 : x
  2. Step 2: Convert to fraction form
    684,612/1,412,964 = 1,412,964/x
  3. Step 3: Cross multiply
    684,612x = 1,412,964 × 1,412,964
  4. Step 4: Simplify right side
    684,612x = 1,996,467,265,296
  5. Step 5: Solve for x
    x = 1,996,467,265,296/684,612
  6. Step 6: Final answer
    x = 2,916,202.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.